Young modules and filtration multiplicities for Brauer algebras.
type: Item
instance of: scholarly article
title: Young modules and filtration multiplicities for Brauer algebras.
zbMATH Open document ID: 1116.16009
author: Robert Hartmann
author: Rowena Paget
published in: Mathematische Zeitschrift
publication date: 2006-11-29T00:00:00Z
review text: This paper aims to generalize the Young modules theory for symmetric groups to the Brauer algebra \(B_k(r,\delta)\). The authors define permutation modules and Young modules for \(B_k(r,\delta)\), and show that if the characteristic of the field \(k\) is neither \(2\) nor \(3\) then every permutation module is a sum of Young modules. Moreover, the authors determine precisely in which cases cell module filtration multiplicities are well-defined, which generalizes earlier results of Hemmer-Nakano for symmetric groups.
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20C08
zbMATH DE Number: 5076564
zbMATH Keywords: Brauer algebras
zbMATH Keywords: cellular algebras
zbMATH Keywords: cell modules
zbMATH Keywords: Young modules
zbMATH Keywords: permutation modules
zbMATH Keywords: symmetric groups
reviewed by: Hu Jun
MaRDI profile type: Publication
full work available at URL: s00209-006-0950-x
OpenAlex ID: W1993909850
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DOI: 10.1007/S00209-006-0950-X
description: scientific article; zbMATH DE number 5076564